oj.uz

Submission #1106348

# Submission time Handle Problem Language Result Execution time Memory
1106348 2024-10-30T03:49:26 Z Zero_OP Cities (BOI16_cities) C++14
100 / 100
 5810 ms 173052 KB 
#include <bits/stdc++.h>

using namespace std;

template<typename T>
    bool minimize(T& a, const T& b){
        if(a > b){
            return a = b, true;
        } return false;
    }

int main(){
    ios_base::sync_with_stdio(0);
    cin.tie(0);

    int N, K, M;
    cin >> N >> K >> M;
    vector<int> cities(K);
    for(int i = 0; i < K; ++i){
        cin >> cities[i];
        --cities[i];
    }

    vector<vector<pair<int, int>>> adj(N);
    while(M--){
        int u, v, w;
        cin >> u >> v >> w;
        --u, --v;
        adj[u].push_back({v, w});
        adj[v].push_back({u, w});
    }

    const long long inf = 1e18;
    using node = tuple<long long, int, int>;
    priority_queue<node, vector<node>, greater<node>> pq;
    vector<vector<long long>>  d(1 << K, vector<long long>(N, inf));
    vector<vector<bool>> visited(1 << K, vector<bool>(N, false));

    for(int i = 0; i < K; ++i){
        d[1 << i][cities[i]] = 0;
        pq.push({d[1 << i][cities[i]], 1 << i, cities[i]});
    }

    int full = (1 << K) - 1;
    while(!pq.empty()){
        long long cur; int mask, u;
        tie(cur, mask, u) = pq.top(); pq.pop();

        if(visited[mask][u]) continue;
        visited[mask][u] = true;

        for(auto [v, w] : adj[u]){
            if(minimize(d[mask][v], d[mask][u] + w)){
                pq.push({d[mask][v], mask, v});
            }

            int not_mask = mask ^ full;
            for(int s = not_mask; s > 0; s = (s - 1) & not_mask){
                if(minimize(d[mask | s][v], d[mask][u] + d[s][v] + w)){
                    pq.push({d[mask | s][v], mask | s, v});
                }
            }
        }
    }

    long long ans = inf;
    for(int i = 0; i < N; ++i){
        minimize(ans, d[(1 << K) - 1][i]);
    }
    cout << ans << '\n';

    return 0;
}

Compilation message

cities.cpp: In function 'int main()':
cities.cpp:52:18: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   52 |         for(auto [v, w] : adj[u]){
      |                  ^

Subtask #1
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 504 KB Output is correct
5 Correct 1 ms 336 KB Output is correct

Subtask #2
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 453 ms 34664 KB Output is correct
2 Correct 405 ms 34440 KB Output is correct
3 Correct 249 ms 19260 KB Output is correct
4 Correct 55 ms 6016 KB Output is correct
5 Correct 152 ms 19252 KB Output is correct
6 Correct 40 ms 5572 KB Output is correct
7 Correct 3 ms 1016 KB Output is correct
8 Correct 2 ms 592 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 1228 KB Output is correct
2 Correct 7 ms 1228 KB Output is correct
3 Correct 5 ms 848 KB Output is correct
4 Correct 6 ms 1236 KB Output is correct

Subtask #4
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1535 ms 90396 KB Output is correct
2 Correct 1460 ms 90016 KB Output is correct
3 Correct 775 ms 38184 KB Output is correct
4 Correct 898 ms 49044 KB Output is correct
5 Correct 247 ms 25072 KB Output is correct
6 Correct 94 ms 9916 KB Output is correct

Subtask #5
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 5664 ms 168968 KB Output is correct
2 Correct 5810 ms 173052 KB Output is correct
3 Correct 5595 ms 172084 KB Output is correct
4 Correct 2459 ms 102172 KB Output is correct
5 Correct 3361 ms 158096 KB Output is correct
6 Correct 657 ms 46756 KB Output is correct
7 Correct 237 ms 20024 KB Output is correct